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(a) A section of road has a free flow speed of 55km/h and a jam density of 367 vehicles per kilometre. Assuming under a linear speed-density relationship, calculate the density at maximum flow, the maximum flow rate and the speed at maximum flow.
(b) A roadway has an average hourly traffic volume of 360 veh/h. Assuming that the arrival of vehicles is Poisson distributed, estimate the probabilities of having 0, 1, 2, 3, 4 and 5 or more vehicles arriving over a 20 second time interval. Determine the probability that the gap between successive vehicles will be less than 8 seconds.
(c) Consider the following traffic situation for an intersection. Minor road vehicles at a STOP sign need a 6 seconds gap from the major road traffic to cross the road. If the major road traffic volume is 450 veh/h, estimate the percentage of vehicles from the minor road that could make a successful crossing without being delayed. If the minor road vehicles have a follow-up time of 2 seconds, determine the maximum number of minor road vehicles that could cross the major road during one hour.
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It is instructive to investigate the pitching motion caused by a disturbance from trim due to a control surface deflection. We shall assume that the velocity remains constant, and
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Let C(K) denote a European vanilla Call option with strike price K. Assume that all options are identical except for strike price, and strike prices satisfy (K1) What are the no-
Constant speeding propeller: The definition of a Constant Speeding propeller is 'A propeller, the pitch setting of which varies automatically to maintain a preselected constant
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Allowances for pattern : A pattern is always made larger than the required size of the casting in order to allow for various factor, such as shrinkage, machining, distortion and r
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